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Finding the Fourth Proportional to 2,380.59, 3,286.26 and 1,573.02

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Solution

The fourth proportional to 2,380.59, 3,286.26 and 1,573.02 is: 2,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.59 : 3,286.26 = 1,573.02 : x
  2. Step 2: Convert to fraction form
    2,380.59/3,286.26 = 1,573.02/x
  3. Step 3: Cross multiply
    2,380.59x = 3,286.26 × 1,573.02
  4. Step 4: Simplify right side
    2,380.59x = 5,169,352.71
  5. Step 5: Solve for x
    x = 5,169,352.71/2,380.59
  6. Step 6: Final answer
    x = 2,171.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.